\newproblem{lay:3_2_24}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 3.2.24}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
	Use determinants to decide if the set of vectors $\begin{pmatrix}4\\6\\-7\end{pmatrix}$, $\begin{pmatrix}-7\\0\\2\end{pmatrix}$, and $\begin{pmatrix}-3\\-5\\6\end{pmatrix}$
	is linearly independent.
}{
   % Solution
	\begin{center}
		$\left|\begin{array}{rrr}4 & -7 & -3 \\ 6 & 0 & -5 \\ -7 & 2 & 6 \end{array}\right|=11$
	\end{center}
	The three vectors are linearly independent because their determinant is different from 0.
}
\useproblem{lay:3_2_24}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
